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Finding the Fourth Proportional to 145,907.70, 218,691.45 and 67,029.90

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Solution

The fourth proportional to 145,907.70, 218,691.45 and 67,029.90 is: 100,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,907.70 : 218,691.45 = 67,029.90 : x
  2. Step 2: Convert to fraction form
    145,907.70/218,691.45 = 67,029.90/x
  3. Step 3: Cross multiply
    145,907.70x = 218,691.45 × 67,029.90
  4. Step 4: Simplify right side
    145,907.70x = 14,658,866,024.36
  5. Step 5: Solve for x
    x = 14,658,866,024.36/145,907.70
  6. Step 6: Final answer
    x = 100,466.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.